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Finding the Third Proportional to 459,816.75 and 581,764.78

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Solution

The third proportional to 459,816.75 and 581,764.78 is: 736,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,816.75 : 581,764.78 = 581,764.78 : x
  2. Step 2: Convert to fraction form
    459,816.75/581,764.78 = 581,764.78/x
  3. Step 3: Cross multiply
    459,816.75x = 581,764.78 × 581,764.78
  4. Step 4: Simplify right side
    459,816.75x = 338,450,260,702.86
  5. Step 5: Solve for x
    x = 338,450,260,702.86/459,816.75
  6. Step 6: Final answer
    x = 736,054.66

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.